Before poking around peoples' homes, though, head to the South side of the bridge and step out onto the tennis court.  The near side holds a tennis player waiting for a match- a pokemon match, that is.

Battle: Smasher Lizzy (4400 Poke)
Opponent: Whimsicott Lv 44

A Carbos vitamin is sitting by the bench on the north side of the tennis court, right near where the other pokemon-using tennis player is pacing.

Battle: Smasher Amy (4400 Poke)
Opponent: Lilligant Lv 44

The far side of the tennis court grants you access to the under-bridge area, which you can use to head North or cross/surf in the stream under the bridge.

North of the bridge on this side is another battle waiting for you.

Battle: Artist Gough (2016 Poke)
Opponent: Sunflora Lv 42

Past him to the North is an area with dark grass, where you can pick up a hidden Big Mushroom just as you enter.  At the far side of the grass is a Rare Candy, easily spotted.  A man in the middle of the grassy area can be talked to in order to add a flute line to the music of the Village Bridge area.